In this paper we investigate the applicability of the asymptotic approach developed in Fouque et al. (2000) for pricing commodity futures options in a Schwartz (1997) multi factor model, featuring both stochastic convenience yield and stochastic volatility. We show that the zero order term in...

In this paper we propose a simple one-factor quantile regression model based on realized volatility to forecast Value-at-Risk (VaR). The model only uses daily realized volatility as input and thus simplifies estimation substantially compared with most other methodologies currently used to...

For fixed maturity, under the no-arbitrage assumption, futures prices should follow a martingale with respect to the trading time, at least under the pricing measure. Therefore, a prominent display of trading time seasonality under the physical measure raises warning signs and can only occur by...